S k i l l
i n
A R I T H M E T I C

Prologue 2

# THE MULTIPLICATION TABLE

 × 1 2 3 4 5 6 7 8 9 1 1 2 3 4 5 6 7 8 9 2 2 4 6 8 10 12 14 16 18 3 3 6 9 12 15 18 21 24 27 4 4 8 12 16 20 24 28 32 36 5 5 10 15 20 25 30 35 40 45 6 6 12 18 24 30 36 42 48 54 7 7 14 21 28 35 42 49 56 63 8 8 16 24 32 40 48 56 64 72 9 9 18 27 36 45 54 63 72 81

The student should practice the table out loud.  To practice the 8 table, for example, say,

"1 times 8 is 8.   2 times 8 is 16.   3 times 8 is 24."

And so on.  (Do not just say, "8,  16,  24, . . .")  Repeat this so that "3 times 8 is 24" begins to sound right.  It is not necessary to make an effort.  Repetition is all that is required to make an impression in the mind.

Practice each column until you can say the answer without thinking.

Do the problem yourself first!

 6 × 4 = 24 5 × 4 = 20 7 × 4 = 28 7 × 7 = 49 9 × 8 = 72 9 × 3 = 27 7 × 5 = 35 9 × 9 = 81 6 × 3 = 18 9 × 5 = 45 8 × 4 = 32 6 × 8 = 48 3 × 9 = 27 4 × 6 = 24 4 × 5 = 20 5 × 7 = 35 4 × 7 = 28 3 × 6 = 18 4 × 3 = 12 7 × 8 = 56 8 × 7 = 56 8 × 3 = 24 6 × 7 = 42 8 × 9 = 72 5 × 8 = 40 5 × 6 = 30 3 × 4 = 12 4 × 8 = 32 5 × 5 = 25 5 × 9 = 45 8 × 6 = 48 8 × 5 = 40 9 × 6 = 54 6 × 9 = 54 7 × 9 = 63 6 × 5 = 30 9 × 7 = 63 9 × 4 = 36 6 × 6 = 36 3 × 8 = 24 3 × 7 = 21 7 × 3 = 21 8 × 8 = 64 3 × 5 = 15 5 × 3 = 15 7 × 6 = 42 4 × 9 = 36 4 × 4 = 16

Here again are these elementary sums to practice.

 8 + 5 = 13 3 + 9 = 12 5 + 9 = 14 6 + 8 = 14 7 + 9 = 16 9 + 6 = 15 7 + 6 = 13 8 + 6 = 14 6 + 5 = 11 8 + 4 = 12 3 + 8 = 11 5 + 8 = 13 9 + 4 = 13 7 + 4 = 11 6 + 6 = 12 4 + 9 = 13 4 + 8 = 12 6 + 9 = 15 8 + 9 = 17 4 + 7 = 11 5 + 7 = 12 6 + 7 = 13 9 + 3 = 12 9 + 2 = 11 7 + 7 = 14 7 + 8 = 15 9 + 5 = 14 9 + 8 = 17 7 + 5 = 12 2 + 9 = 11 9 + 7 = 16 8 + 7 = 15 5 + 6 = 11 8 + 3 = 11 8 + 8 = 16 9 + 0 = 9 8 + 0 = 8 0 + 6 = 6 0 + 3 = 3 0 + 0 = 0

Lesson 1:  Powers of 10